The Klein bottle is a non-orientable surface with no distinct inside or outside: a one-sided surface that, if traveled upon, returns to its starting point flipped as though reflected. Felix Klein first described it in 1882. It cannot be embedded in three-dimensional Euclidean space without self-intersecting, unlike the Mobius strip, though it embeds cleanly in four dimensions. The Klein bottle is homeomorphic to the connected sum of two real projective planes and, unlike the Mobius strip, is a closed surface with no boundary. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
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Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.
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1. Klein Bottle (Wikipedia)
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In mathematics, the Klein bottle is an example of a surface with no distinct inside or outside.
- In Branch: Topology
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